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Finding the Third Proportional to 116,664 and 255,926

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Solution

The third proportional to 116,664 and 255,926 is: 561,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,664 : 255,926 = 255,926 : x
  2. Step 2: Convert to fraction form
    116,664/255,926 = 255,926/x
  3. Step 3: Cross multiply
    116,664x = 255,926 × 255,926
  4. Step 4: Simplify right side
    116,664x = 65,498,117,476
  5. Step 5: Solve for x
    x = 65,498,117,476/116,664
  6. Step 6: Final answer
    x = 561,425.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.